dc.contributor.author | Kakofengitis, Dimitris | |
dc.contributor.author | Steuernagel, Ole | |
dc.date.accessioned | 2018-02-21T16:54:48Z | |
dc.date.available | 2018-02-21T16:54:48Z | |
dc.date.issued | 2017-09-30 | |
dc.identifier.citation | Kakofengitis , D & Steuernagel , O 2017 , ' Wigner's quantum phase space current in weakly anharmonic weakly excited two-state systems ' , European Physical Journal Plus , vol. 132 . https://doi.org/10.1140/epjp/i2017-11634-2 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1411.3511v1 | |
dc.identifier.other | ORCID: /0000-0003-4123-7517/work/54404245 | |
dc.identifier.uri | http://hdl.handle.net/2299/19810 | |
dc.description | This is an open access article distributed under the terms of the Creative Commons Attribution License CC BY 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | |
dc.description.abstract | There are no phase-space trajectories for anharmonic quantum systems, but Wigner’s phase-space representation of quantum mechanics features Wigner current J . This current reveals fine details of quantum dynamics – finer than is ordinarily thought accessible according to quantum folklore invoking Heisenberg’s uncertainty principle. Here, we focus on the simplest, most intuitive, and analytically accessible aspects of J . We investigate features of J for bound states of time-reversible, weakly-anharmonic one-dimensional quantum-mechanical systems which are weakly-excited. We establish that weakly-anharmonic potentials can be grouped into three distinct classes: hard, soft, and odd potentials. We stress connections between each other and the harmonic case. We show that their Wigner current fieldline patterns can be characterised by J ’s discrete stagnation points, how these arise and how a quantum system’s dynamics is constrained by the stagnation points’ topological charge conservation. We additionally show that quantum dynamics in phase space, in the case of vanishing Planck constant ̄ h or vanishing anharmonicity, does not pointwise converge to classical dynamics. | en |
dc.format.extent | 13 | |
dc.format.extent | 5715977 | |
dc.language.iso | eng | |
dc.relation.ispartof | European Physical Journal Plus | |
dc.title | Wigner's quantum phase space current in weakly anharmonic weakly excited two-state systems | en |
dc.contributor.institution | School of Physics, Astronomy and Mathematics | |
dc.contributor.institution | Centre for Atmospheric and Climate Physics Research | |
dc.description.status | Peer reviewed | |
rioxxterms.versionofrecord | 10.1140/epjp/i2017-11634-2 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |